Compute Probabilities Using the General Multiplication Rule
-There are 34 chocolates in a box, all identically shaped. There 7 are filled with nuts, 15 with caramel, and 12 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a solid chocolate candy followed by a nut candy.
A) $\frac { 14 } { 187 }$
B) $\frac { 18 } { 289 }$
C) $\frac { 2 } { 187 }$
D) $\frac { 21 } { 289 }$

Question

Quizplus · Accepted Answer

The probability of selecting a solid chocolate candy first is $ \frac{12}{34} $. After eating it, there are 33 candies left, so the probability of then selecting a nut candy is $ \frac{7}{33} $. Using the general multiplication rule, the combined probability is $ \frac{12}{34} \times \frac{7}{33} = \frac{84}{1122} = \frac{14}{187} $.

Compute Probabilities Using the General Multiplication Rule -There Are 34 14187\frac { 14 } { 187 }18714​

Compute Probabilities Using the General Multiplication Rule
-There Are 34 $\frac { 14 } { 187 }$